Applying the Lexicographic Maximum Solution of Min-Product Fuzzy Relational Inequalities for Finding the Optimal Pricing with a Fixed Priority in a Supply Chain System

Abstract Fuzzy relational inequalities composed by the min-product operation are established to model the optimal pricing with fixed priority in a single product supply chain system. The solution algorithm has been proposed for solving such an optimization problem and finding the optimal solution (is called lexicographic maximum solution). In this study, a novel approach is proposed to finding the optimal pricing with fixed priority in a single product supply chain system. This approach is based on new properties of solution set in a min-product fuzzy relational inequality. These new properties allow us directly determine the optimal value of variable without many duplicate checks in the solution procedure. A numerical example is provided to illustrate the procedure.

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Optimal pricing and lot-sizing policy for a two-warehouse supply chain system with perishable items under partial trade credit financing

Operational Research ◽

10.1007/s12351-009-0066-2 ◽

2009 ◽

Vol 10 (2) ◽

pp. 133-161 ◽

Cited By ~ 18

Author(s):

A. Thangam ◽

R. Uthayakumar

Keyword(s):

Supply Chain ◽

Trade Credit ◽

Lot Sizing ◽

Optimal Pricing ◽

Supply Chain System ◽

Perishable Items ◽

Chain System ◽

Partial Trade Credit ◽

Credit Financing

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Integrated multistage supply chain inventory model of multiple retailers with imperfect production and inspection systems

10.21203/rs.3.rs-201807/v1 ◽

2021 ◽

Author(s):

Chi-Jie Lu ◽

Ming Gu ◽

Tian-Shyug Lee ◽

Chih-Te Yang

Keyword(s):

Supply Chain ◽

Optimal Solution ◽

Solution Procedure ◽

Inventory Model ◽

Model Complexity ◽

Supply Chain System ◽

Imperfect Production ◽

Proposed Model ◽

Inspection Systems ◽

Total Profit

Abstract An integrated multistage supply chain inventory model containing a single manufacturer and multiple retailers is proposed to consider deteriorating materials and finished products with imperfect production and inspection systems. The main purpose is to jointly determine the manufacturer’s production and delivery strategies and the retailers’ replenishment strategies to maximize the integrated total profit. First, the individual total profit functions of the manufacturer and multiple retailers are established and are integrated to form the total profit function of the supply chain system. Then, to address the model complexity, an algorithm is proposed to obtain the optimal solution. Several practical numerical examples are presented to demonstrate the solution procedure, and a sensitivity analysis is performed on the major parameters. From the numerical results, several findings that differ from those in the previous literature were observed. First, retailers with larger market scale, better cost control, and inspection capabilities guarantee higher integrated total profit. Second, increasing the deterioration rates of materials and finished products affect the order quantity of materials in various ways. Third, the manufacturer’s shipping strategy is rigid and not easily adjusted in the proposed model. The performance of the proposed model has several meaningful management implications.

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MODELING (r, Q) POLICY IN A TWO-LEVEL SUPPLY CHAIN SYSTEM WITH FUZZY DEMAND

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488510006817 ◽

2010 ◽

Vol 18 (06) ◽

pp. 819-841 ◽

Cited By ~ 3

Author(s):

MOHAMMADALI PIRAYESH ◽

MOHAMMAD MODARRES YAZDI

Keyword(s):

Supply Chain ◽

Optimal Solution ◽

Control Policy ◽

Supply Chain System ◽

Total Cost ◽

Chain System ◽

Inventory Control Policy ◽

Triangular Membership Function ◽

Unsatisfied Demand ◽

Shortage Costs

In this paper a two level supply chain system is studied, in which the final demand is assumed to be fuzzy with triangular membership function. The inventory control policy of (r, Q) is followed for this system and unsatisfied demand is assumed to be back ordered. The objective is to minimize the total cost of the system, including ordering, holding and shortage costs. The model happens to be a nonlinear programming. Considering the complexity arising from the model, we also develop a genetic algorithm to obtain a near-optimal solution. The method is illustrated through some numerical examples.

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Optimizing the Two-Stage Supply Chain Inventory Model with Full Information Sharing and Two Backorders Costs Using Hybrid Geometric-Algebraic Method

Journal of Optimization ◽

10.1155/2013/519180 ◽

2013 ◽

Vol 2013 ◽

pp. 1-5 ◽

Cited By ~ 2

Author(s):

Mohamed E. Seliaman

Keyword(s):

Supply Chain ◽

Algebraic Method ◽

Relevant Information ◽

Two Stage ◽

Single Product ◽

Supply Chain System ◽

Total Cost ◽

Chain System ◽

Operational Costs ◽

Replenishment Policy

We consider the case of a two-stage serial supply chain system. This supply chain system involves a single vendor who supplies a single buyer with a single product. The vendor’s production rate is assumed finite. In addition, the demand at the buyer is assumed deterministic. In order to coordinate their replenishment policies and jointly optimize their operational costs, the two supply chain partners fully share their relevant information. For this purpose, we develop an integrated inventory replenishment model assuming linear and fixed backorders costs. Then, we use a hybrid geometric-algebraic method to drive the optimal replenishment policy and the minimum supply chain total cost in a closed form.

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Maximin Optimization Problem Subject to Min-Product Fuzzy Relation Inequalities with Application in Supply and Demand Scheme

Complexity ◽

10.1155/2019/4960638 ◽

2019 ◽

Vol 2019 ◽

pp. 1-13

Author(s):

Hai-Tao Lin ◽

Xiao-Bin Yang ◽

Hui-Mei Guo ◽

Cai-Fen Zheng ◽

Xiao-Peng Yang

Keyword(s):

Supply Chain ◽

Supply And Demand ◽

Optimal Solution ◽

Fuzzy Relation ◽

Supply Chain System ◽

Index Set ◽

Chain System ◽

Product Composition ◽

Optimization Management ◽

The Difference

In a supply chain system, the prices with which the suppliers supply its local commodity to the retailers should satisfy the requirements of the retailers and the consumers. The supply and demand scheme satisfying these requirements is reduced into fuzzy relation inequalities (FRIs) with min-product composition. Due to the difference between the min-product composition and the classical max-t-norm one, we first study the resolution of such min-product FRI system. For optimization management in the supply chain system, we further investigate a maximin programming problem subject to the min-product FRIs. An algorithm is proposed to obtain the optimal solution based on the quasi-maximal matrix and corresponding index set. To illustrate the efficiency of our proposed algorithm, we provide a simple numerical example. The obtained optimal solution reflects an optimal pricing scheme, which maximizes the minimum prices of the commodity from the suppliers.

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Pricing and Inventory Strategy of Dual-channel Supply Chain under Random Demand and Retailer's Capital Constraint

International Journal of Cognitive Informatics and Natural Intelligence ◽

10.4018/ijcini.2015010103 ◽

2015 ◽

Vol 9 (1) ◽

pp. 30-46 ◽

Cited By ~ 1

Author(s):

Hehua Fan ◽

Yongwei Zhou

Keyword(s):

Supply Chain ◽

Demand Uncertainty ◽

Distribution Channels ◽

Optimal Pricing ◽

Supply Chain System ◽

Profit Model ◽

Chain System ◽

Dual Channel ◽

Inventory Strategy ◽

Dual Channel Supply Chain

A dual-channel supply chain system composed of one manufacturer and one retailer is considered in this paper, which existed uncertainty demands in both distribution channels and capital constraint on retailer. It set up the profit model of manufacturer dominated dual-channel supply chain system, studied to the optimal pricing and inventory strategies of decentralized and centralized supply chain, obtained the optimal pricing and inventory strategy of the two kinds of supply chain system. The analysis to the optimal solution indicated that the demand uncertainty of two distribution channels, deferred-payment rate etc, are all have certain influence relation on the pricing strategies of manufacturer and retailer. Numerical experiment has showed the effectiveness of the conclusions.

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