This page has only limited features, please log in for full access.

Unclaimed
Milena Bieniek
Faculty of Economics, Management and Quality Sciences Institute, Maria Curie-Sklodowska University, Plac Marii Curie-Sklodowskiej 5, 20-031 Lublin, Poland

Basic Info


Fingerprints

Supply Chain & Logistics Management
Probability

Honors and Awards

The user has no records in this section


Career Timeline

The user has no records in this section.


Short Biography

The user biography is not available.
Following
Followers
Co Authors
The list of users this user is following is empty.
Following: 0 users

Feed

Journal article
Published: 12 June 2021 in Sustainability
Reads 0
Downloads 0

Barter exchange is a system of swapping goods or services for other goods or services in a moneyless and direct manner. Barter has become an effective model of a circular economy because it reduces the consumption impact. Bartering maximizes the utility of assets and existing resources, and can unleash the unspent social, economic, and environmental value of underutilized assets. The present article analyzes the price-setting newsvendor problem with a barter exchange option. The retailer facing a stochastic price-dependent demand sells a product on the market and, additionally, needs another product for its own purposes. Therefore, first, the retailer trades the unsold product for the product it needs by means of barter, and next disposes of the unsold product at a discounted price at the end of the selling season. The retailer’s optimal order quantity and optimal price are derived assuming additive uncertainty in demand. This type of demand function has special characteristics, for example, the actual demand may attain negative values in times of economic uncertainty. The possibility of negative demand realizations is taken into consideration in the study. It proves that, in certain cases, the optimal solution belongs to the set of high barter prices which implies that the actual demand may be negative.

ACS Style

Milena Bieniek. Bartering: Price-Setting Newsvendor Problem with Barter Exchange. Sustainability 2021, 13, 6684 .

AMA Style

Milena Bieniek. Bartering: Price-Setting Newsvendor Problem with Barter Exchange. Sustainability. 2021; 13 (12):6684.

Chicago/Turabian Style

Milena Bieniek. 2021. "Bartering: Price-Setting Newsvendor Problem with Barter Exchange." Sustainability 13, no. 12: 6684.

Journal article
Published: 01 June 2021 in European Journal of Operational Research
Reads 0
Downloads 0

Inventories are ubiquitous in nature and inventory control is a crucial activity undertaken in the supply chain (SC) by a company’s management. The Vendor Managed Inventory (VMI) contract has become a common technique for supply chain management (SCM) since the 1980’s. In this technique, the decision about how much inventory to hold is made by the vendor. In the paper, we consider VMI with consignment (VMCI). Consignment is a frequently used form of business arrangement, in which the vendor retains the ownership of the inventory and gets paid by the retailer on actual units sold. Under VMCI, decisions are made in two steps. In the first step, the vendor specifies a consignment price and an order quantity with the objective to maximize the vendor’s expected profit. In the second step, the retailer chooses a retail price which maximizes the retailer’s expected profit. The customer demand is assumed to be stochastic, additive and price–sensitive. Additive uncertainty can produce negative demand realizations, which may occur in adverse market conditions. We prove that in this case an optimal and possibly non–unique solution to VMCI exists. We calculate closed–form formulas for optimal quantities for uniformly distributed demand. Finally, we demonstrate our approach through a numerical example and we show that the imposition of a non–negativity constraint can cause a higher vendor’s expected profit.

ACS Style

Milena Bieniek. The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions. European Journal of Operational Research 2021, 291, 411 -420.

AMA Style

Milena Bieniek. The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions. European Journal of Operational Research. 2021; 291 (2):411-420.

Chicago/Turabian Style

Milena Bieniek. 2021. "The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions." European Journal of Operational Research 291, no. 2: 411-420.

Research article
Published: 04 August 2020 in INFOR: Information Systems and Operational Research
Reads 0
Downloads 0

Consignment is a form of business arrangement, in which a vendor places goods at a retailer’s location without receiving payment until the products are sold. This paper examines consignment with consumer non-defective returns behaviour, where the upstream vendor makes a contract with the downstream retailer. The vendor decides what the consignment and refund prices are, and the retailer chooses the retail price. The vendor gets paid based on the sold units, salvages and returns. We analyze two contracts, called retailer and vendor managed consignment inventory (RMCI and VMCI, respectively), the only difference being that under RMCI, the retailer chooses the service level, and under VMCI, the vendor specifies it. We present precise solutions to VMCI for additive uncertainty and compare them to the multiplicative case. We prove that the vendor’s optimal return policy depends on a salvage value since if it is equal to zero, the vendor should not offer the return policy. We show that the channel may gain profit from the return policy for the positive salvage value. We demonstrate that the form of uncertainty and the presence of consumer returns considerably affect the solutions to the problems. As an extension, we give the results obtained under RMCI.

ACS Style

Milena Bieniek. Consumer returns in consignment contracts with inventory control and additive uncertainty. INFOR: Information Systems and Operational Research 2020, 59, 169 -189.

AMA Style

Milena Bieniek. Consumer returns in consignment contracts with inventory control and additive uncertainty. INFOR: Information Systems and Operational Research. 2020; 59 (1):169-189.

Chicago/Turabian Style

Milena Bieniek. 2020. "Consumer returns in consignment contracts with inventory control and additive uncertainty." INFOR: Information Systems and Operational Research 59, no. 1: 169-189.

Journal article
Published: 28 August 2019 in Foundations of Computing and Decision Sciences
Reads 0
Downloads 0

In this research note the satisficing newsvendor problem is considered which is defined as the maximization of the probability of exceeding the expected profit multiplied by a positive constant. This constant called optimism coefficient can be chosen by the firm’s management either based on their preference or the market conditions. The coefficient indicates whether there is a low or high optimistic decision maker. For the general demand distribution the results are significantly dependent on this coefficient.

ACS Style

Milena Bieniek. Satisficing Newsvendor Problem with the Optimism Coefficient. Foundations of Computing and Decision Sciences 2019, 44, 261 -271.

AMA Style

Milena Bieniek. Satisficing Newsvendor Problem with the Optimism Coefficient. Foundations of Computing and Decision Sciences. 2019; 44 (3):261-271.

Chicago/Turabian Style

Milena Bieniek. 2019. "Satisficing Newsvendor Problem with the Optimism Coefficient." Foundations of Computing and Decision Sciences 44, no. 3: 261-271.

Original paper
Published: 20 November 2018 in Optimization Letters
Reads 0
Downloads 0

Consignment is the shifting of the inventory ownership to the supplier. In this form of business arrangement the supplier places goods at a customer’s location without receiving payment, until the goods are sold. We consider a single period supply chain model, where the supplier contracts with the retailer. Market demand for the product is price–dependent and uncertain. The supplier decides the consignment price and the retailer chooses the retail price for each unit sold. Two arrangements called retailer managed consignment inventory (RMCI), and vendor managed consignment inventory (VMCI) are studied. The only difference between these arrangements is that under RMCI contract the retailer is allowed to choose the service level, and under VMCI contract the supplier decides about this service level. In our paper we give the optimal solutions for the retail price, the service level and the consignment price in closed–form, which maximize the expected profit of the retailer or the supplier under both consignment regimes. We consider the additive demand linearly dependent on price. We also illustrate the solutions by a numerical example, which explains the general results well.

ACS Style

Milena Bieniek. Vendor and retailer managed consignment inventory with additive price–dependent demand. Optimization Letters 2018, 13, 1757 -1771.

AMA Style

Milena Bieniek. Vendor and retailer managed consignment inventory with additive price–dependent demand. Optimization Letters. 2018; 13 (8):1757-1771.

Chicago/Turabian Style

Milena Bieniek. 2018. "Vendor and retailer managed consignment inventory with additive price–dependent demand." Optimization Letters 13, no. 8: 1757-1771.

Journal article
Published: 01 January 2018 in Multiple Criteria Decision Making
Reads 0
Downloads 0
ACS Style

Milena Bieniek. Goal setting in the newsvendor problem with uniformly distributed demand. Multiple Criteria Decision Making 2018, 13, 91 -102.

AMA Style

Milena Bieniek. Goal setting in the newsvendor problem with uniformly distributed demand. Multiple Criteria Decision Making. 2018; 13 ():91-102.

Chicago/Turabian Style

Milena Bieniek. 2018. "Goal setting in the newsvendor problem with uniformly distributed demand." Multiple Criteria Decision Making 13, no. : 91-102.

Journal article
Published: 01 January 2017 in Multiple Criteria Decision Making
Reads 0
Downloads 0
ACS Style

Milena Bieniek. Bicriteria optimization in the risk-adjusted newsvendor problem. Multiple Criteria Decision Making 2017, 12, 9 -21.

AMA Style

Milena Bieniek. Bicriteria optimization in the risk-adjusted newsvendor problem. Multiple Criteria Decision Making. 2017; 12 ():9-21.

Chicago/Turabian Style

Milena Bieniek. 2017. "Bicriteria optimization in the risk-adjusted newsvendor problem." Multiple Criteria Decision Making 12, no. : 9-21.

Journal article
Published: 01 January 2016 in Multiple Criteria Decision Making
Reads 0
Downloads 0
ACS Style

Milena Bieniek. Bicriteria Optimization In the Newsvendor Problem with Exponentially Distributed Demand. Multiple Criteria Decision Making 2016, 11, 20 -35.

AMA Style

Milena Bieniek. Bicriteria Optimization In the Newsvendor Problem with Exponentially Distributed Demand. Multiple Criteria Decision Making. 2016; 11 ():20-35.

Chicago/Turabian Style

Milena Bieniek. 2016. "Bicriteria Optimization In the Newsvendor Problem with Exponentially Distributed Demand." Multiple Criteria Decision Making 11, no. : 20-35.

Journal article
Published: 01 September 2015 in Omega
Reads 0
Downloads 0
ACS Style

Milena Bieniek. A note on the facility location problem with stochastic demands. Omega 2015, 55, 53 -60.

AMA Style

Milena Bieniek. A note on the facility location problem with stochastic demands. Omega. 2015; 55 ():53-60.

Chicago/Turabian Style

Milena Bieniek. 2015. "A note on the facility location problem with stochastic demands." Omega 55, no. : 53-60.

Journal article
Published: 30 September 2014 in Archives of Transport
Reads 0
Downloads 0

In this paper we consider the influence of the safety factor on the decision of the inventory location. This decision is done based on the model which centralizes or decentralizes the safety stock. In this model we have to choose between the location of the inventory in the regional warehouses or the location in the central warehouse. The decision is made due to the minimizing the holding costs and the supply costs of the safety stock from the central warehouse to the customer. The main assumption is that the customers have the stochastic demands on the inventory items. Moreover, the customers’ demands have the known distribution with the known parameters. The complex analysis of the influences of possible probabilistic demands' distributions on the safety factors is conducted. The numerical computations for the safety factors used in the facility location model are also presented. In numerical examples we take into considerations the demands’ distributions the most often used in practice like the normal, the Poisson, the Gamma and the exponential distribution. Some graphs for the safety factors of these distributions are also drawn. Moreover for the mentioned demands’ distributions the model of the safety stock location depends on the specific factors. Among other things these factors are the mean and the variance of the demand, the number of the regional warehouses, the assumed service level, and some cost factors like the holding costs and the transportation costs. Some graphs which illustrated the dependence of the model elements on some listed before parameters are presented and their influence on the location decision is studied also.

ACS Style

Milena Bieniek. SERVICE LEVEL IN MODEL OF INVENTORY LOCATION WITH STOCHASTIC DEMAND. Archives of Transport 2014, 31, 7 -21.

AMA Style

Milena Bieniek. SERVICE LEVEL IN MODEL OF INVENTORY LOCATION WITH STOCHASTIC DEMAND. Archives of Transport. 2014; 31 (3):7-21.

Chicago/Turabian Style

Milena Bieniek. 2014. "SERVICE LEVEL IN MODEL OF INVENTORY LOCATION WITH STOCHASTIC DEMAND." Archives of Transport 31, no. 3: 7-21.

Journal article
Published: 12 May 2013 in Journal of Mathematical Sciences
Reads 0
Downloads 0

Explicit formulae for single, central, and product moments of k-th upper and lower record values from the linear exponential distribution are given. The limited moments and the mean residual life function are also investigated. Moreover, recurrence relations for moments of k-th upper and lower record values from this distribution are derived.

ACS Style

Milena Bieniek; D. Szynal. On moments of k-th record values from the linear exponential distribution. Journal of Mathematical Sciences 2013, 191, 526 -537.

AMA Style

Milena Bieniek, D. Szynal. On moments of k-th record values from the linear exponential distribution. Journal of Mathematical Sciences. 2013; 191 (4):526-537.

Chicago/Turabian Style

Milena Bieniek; D. Szynal. 2013. "On moments of k-th record values from the linear exponential distribution." Journal of Mathematical Sciences 191, no. 4: 526-537.

Ordered data and applications
Published: 09 March 2007 in Communications in Statistics - Theory and Methods
Reads 0
Downloads 0

We present sharp mean–variance bounds for expectations of kth record values based on distributions coming from restricted families of distributions. These families are defined in terms of convex or star ordering with respect to generalized Pareto distribution. The bounds for expectations of kth record values from DD, DFR, DDA, and DFRA families are special cases of our results. The bounds are derived by application of the projection method.

ACS Style

Milena Bieniek. Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families. Communications in Statistics - Theory and Methods 2007, 36, 679 -692.

AMA Style

Milena Bieniek. Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families. Communications in Statistics - Theory and Methods. 2007; 36 (4):679-692.

Chicago/Turabian Style

Milena Bieniek. 2007. "Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families." Communications in Statistics - Theory and Methods 36, no. 4: 679-692.

Journal article
Published: 01 January 2007 in Journal of Statistical Planning and Inference
Reads 0
Downloads 0

We give new formula for moments of k-th record values in terms of Stirling numbers of the first kind. In particular, the formulae allow to derive the explicit formulae for moments of k-th lower record values from exponential distribution which have not been known yet. Moreover, some interesting identities involving harmonic numbers are also obtained as corollaries to presented results.

ACS Style

Milena Bieniek; Dominik Szynal. On k-th record times, record values and their moments. Journal of Statistical Planning and Inference 2007, 137, 12 -22.

AMA Style

Milena Bieniek, Dominik Szynal. On k-th record times, record values and their moments. Journal of Statistical Planning and Inference. 2007; 137 (1):12-22.

Chicago/Turabian Style

Milena Bieniek; Dominik Szynal. 2007. "On k-th record times, record values and their moments." Journal of Statistical Planning and Inference 137, no. 1: 12-22.

Journal article
Published: 01 January 2005 in Applicationes Mathematicae
Reads 0
Downloads 0
ACS Style

Milena Bieniek; Dominik Szynal. On random split of the segment. Applicationes Mathematicae 2005, 32, 243 -261.

AMA Style

Milena Bieniek, Dominik Szynal. On random split of the segment. Applicationes Mathematicae. 2005; 32 (3):243-261.

Chicago/Turabian Style

Milena Bieniek; Dominik Szynal. 2005. "On random split of the segment." Applicationes Mathematicae 32, no. 3: 243-261.