TAILIEUCHUNG - SUPPLY CHAIN GAMES: OPERATIONS MANAGEMENT AND RISK VALUATION phần 8

Assumption 6,1. Việc kiểm kê, chi phí tồn đọng là dễ chịu, có nghĩa là, nếu cn U ncn U n, sau đó cn U ncn U n và ngược lại, n, n, trong đóCác biến đồng nhà nước, n (t), đáp ứng phương trình vi phân sau đây với điều kiện chu kỳ tương ứng | 356 6 SUSTAINABLE COLLABORATION IN SUPPLY CHAINS c- and cn are the unit costs of storage inventory and backlog of producttype n respectively. We assume relatively large backlog costs are assigned to products that cause large inventory costs and vice versa as formalized below. Assumption . The inventory and backlog costs are agreeable that is if c -Un c -Un then c Un c ríUrí and vice versa for n n e Y where Y 1l n . Without losing generality we also assume that if c-Un c- Un then n n and if n n then c nUn c -Urí n n e Y where Y 1lN . Analysis of the problem n Applying the maximum principle to problem - the Hamiltonian is formulated as follows H -Â kX- t - c X t - Â t un t - dn . The co-state variables n t satisfy the following differential equations with the corresponding periodicity boundary condition c if Xn t 0 n t - c if Xn t 0 ts n tf a a e -c- c- if Xn t 0 To determine the optimal production rate un t when A t 0 we consider the following four possible regimes which are defined according to Un t . Full Production regime FP This regime appears if there is an n such that Un n t 0 andU n t Uri ri t Vrl n n n eY. In this regime according to we should have un t Un and urt t 0 Vn n n rleY. to maximize the Hamiltonian. No Production regime NP If U n t 0 VneY. In this regime we should have un t 0 VneY to maximize the Hamiltonian. Singular Production regime S-SP This regime appears if there is S cY the rank of S the rank of S is defined as the number of units in S and denoted R S is greater than 1 and U n t Uri riO 0 Vn n eS andU n t Um m t VneS m S. SUPPLY CHAINS WITH LIMITED RESOURCES 357 In this regime there is a set of products S the active set for which the Hamiltonian gradients U n t 0 are equal to each other and are greater than all the other gradients at an interval of time. Singular Production regime Z-SP This regime appears if there is a Z such that U n t Un n t 0 n n eZ andU n t Um m t n e Z m Z . In this regime there is a

TỪ KHÓA LIÊN QUAN
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.