Inventory lot-sizing with supplier selection under non-stationary stochastic demand

Purohit, Arun Kr.; Choudhary, Devendra Kumar; Shankar, Ravi

doi:10.1080/00207543.2015.1102354

Cited by 26 publications

(6 citation statements)

References 18 publications

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“…. , 1 according to Equations (24) and (26), respectively. (3) Determine f (t), g(t), and F(t) at the period t* according to Equations (25), (27) and (28), respectively.…”

Section: Algorithm Of Dynamic Programmingmentioning

confidence: 99%

“…A time-varying environment can be considered as some production factors of the manufacturing system, such as the availability of manufacturing resources, material/labor costs/prices, production capacities, or cost of inventory-holding, are constantly changing during the planning horizon. A number of studies can be found in literature on the lot-sizing problems involving time-varying production factors such as time-varying demand [26], time-varying pricing [27], and time-varying cost [28]. Haase and Kimms [28] studied the capacitated lot-sizing problem where production setup cost depends on the order of production steps.…”

Section: Introductionmentioning

confidence: 99%

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The Uncapacitatied Dynamic Single-Level Lot-Sizing Problem under a Time-Varying Environment and an Exact Solution Approach

et al. 2018

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The dynamic lot-sizing problem under a time-varying environment considers new features of the production system where factors such as production setup cost, unit inventory-holding cost, and unit price of manufacturing resources may vary in different periods over the whole planning horizon. Traditional lot-sizing theorems and algorithms are no longer fit for these situations as they had assumed constant environments. In our study, we investigated the dynamic lot-sizing problem with deteriorating production setup cost, a typical time-varying environment where the production setup is assumed to consume more preparing time and manufacturing resources as the production interval lasts longer. We proposed new lot-sizing models based on the traditional lot-sizing model considering the changing setup cost as a new constraint, called uncapacitatied dynamic single-level lot-sizing under a time-varying environment (UDSLLS-TVE for short). The UDSLLS-TVE problem has a more realistic significance and higher research value as it is closer to reality and has higher computational complexity as well. We proposed two mathematical programming models to describe UDSLLS_TVE with or without nonlinear components, respectively. Properties of the UDSLLS-TVE models were extensively analyzed and an exact algorithm based on forward dynamic programming (FDP) was proposed to solve this problem with a complexity of O (n2). Comparative experiments with the commercial MIP solver CPLEX on synthesized problem instances showed that the FDP algorithm is a global optimization algorithm and has a high computational efficiency.

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“…. , 1 according to Equations (24) and (26), respectively. (3) Determine f (t), g(t), and F(t) at the period t* according to Equations (25), (27) and (28), respectively.…”

Section: Algorithm Of Dynamic Programmingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Uncapacitatied Dynamic Single-Level Lot-Sizing Problem under a Time-Varying Environment and an Exact Solution Approach

et al. 2018

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“…From inventory cost optimization perspective, Babai et al [1] conduct an analysis of the service-cost inventory performance of the four multi-criteria inventory classification methods by means of an investigation based on theoretical and empirical data. Purohit et al [23] propose an integer linear programming model inventory lot-sizing with supplier selection under non-stationary stochastic demand. Detailed analysis of experimental is conducted and the results show that impacts of fill rate requirements and demand coefficient of variation on costs, inventory levels, and order allocations.…”

Section: Literature Reviewmentioning

confidence: 99%

Integrated optimization of multiple warehouse replenishment for semiconductor manufacturing

Cheng

Xiong

2017

J Braz. Soc. Mech. Sci. Eng.

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“…Hence, formulating multiproduct can facilitate considering supplier discounts during the supplier selection problem. Purohit et al (2016) proposed integer linear programming covering two important assumptions, including inventory lot-sizing and non-stationary stochastic demand for the suppliers. Amorim et al (2016) proposed a mixed-integer programming model that contains two stages for supplier selection problems under uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Approach to Multi-Stage Supplier Evaluation: Confidence Level Measurement in Ordinal Priority Approach

Mahmoudi

Javed

2022

Group Decis Negot

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A popular framework of the supplier selection process is usually characterized by problem definition, criteria formulation, supplier screening, and supplier selection. The literature review suggested limitations of this framework as it ignores the screening of criteria (beyond criteria weighing) and evaluators (buyers) and its inability to guide the supplier selection problems where a measure of confidence or trust is needed to confirm the reliability of the selected supplier. While extending de Boer's influential supplier selection framework, the current study argues that the supplier selection problem is not merely about ranking suppliers based on given criteria; instead, it involves evaluating criteria and evaluators as well. Guided by the theory of statistics and the Ordinal Priority Approach (OPA), the study pioneers a probabilistic approach of supplier evaluation and selection under incomplete information using a novel Confidence Level measure. The study suggests, the probability that a supplier shortlisted for selection is actually the optimum choice or not can be explained through a probability distribution, called W-distribution, therefore, confidently preventing the decision-makers from selecting the sub-optimum suppliers. The study presents a novel contribution to the theory of multiple-attribute decisionmaking through the OPA. The proposed approach can help build intelligent decision support systems to aid managers while providing them with early warning tools and suggestions to improve confidence in their selection.

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Inventory lot-sizing with supplier selection under non-stationary stochastic demand

Cited by 26 publications

References 18 publications

The Uncapacitatied Dynamic Single-Level Lot-Sizing Problem under a Time-Varying Environment and an Exact Solution Approach

The Uncapacitatied Dynamic Single-Level Lot-Sizing Problem under a Time-Varying Environment and an Exact Solution Approach

Integrated optimization of multiple warehouse replenishment for semiconductor manufacturing

Probabilistic Approach to Multi-Stage Supplier Evaluation: Confidence Level Measurement in Ordinal Priority Approach

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