Abstract
This chapter presents the two-phase decision support concepts in automotive supply chain. The proposed concept applied two environments-mathematical programming (operation research approach) and constraint logic programming (declarative approach). We present an approach that allows modeling and solution of the same decision making model in both environments independently but also to communicate between them. In this chapter the decision making model as a problem of optimizing the cost in supply chain under resources, multimodal and environmental constraints in the form of MILP (Mixed Integer Linear Programming) has been presented. The numerical experiments were carried out using sample data to show the possibilities of practical decision support and optimization of the automotive supply chain.
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Appendix A
Appendix A
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!P - the area/volume occupied by product k;
-
10 15 15 10 20~
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!F - the fixed cost of distributor/distribution center s;
-
1200 1500 1000~
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!V - distributor s maximum capacity/volume for E3 1200 1500 1200;
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2000 2500 1500~
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!Pt - the capacity of transport unit using mode of transport d;
-
60 180 600~
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!Zt - the number of transport units using mode of transport d;
-
!E2 20 20 20;
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!E3
-
12 6 3 ~
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!Z - customer j demand/order for product k;
-
10 10 15 20 15 10 0 10 10 15 10 20 0 20 0 10 0 10 0 20~
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!Tcm - the cut-off time of delivery to the customer j of product k;
-
10 10 10 10 20 10 10 10 10 20 10 10 10 10 20 10 10 10 10 20~
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!C - the cost of product k at factory i;
-
100 200 200 300 300 150 210 150 250 350~
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!w - production capacity at factory i for product k;
-
100 100 100 100 100 100 100 100 100 100~
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!R - if distributor s can deliver product k;
-
1 1 1 1 0 1 1 0 1 1 1 1 1 0 1~
-
!Tp - the time needed for distributor;
-
!to prepare the shipment of product k;
-
2 2 2 2 2 1 1 1 1 1 3 3 3 3 3~
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!A - the fixed cost of delivery from manufacturer i;
-
!to distributor s using mode of transport d;
-
10 20 40 12 24 42 5 10 25 5 10 20 10 20 40 15 25 35 ~
-
!R1 - if manufacturer i can deliver to distributor s;
-
!using mode of transport d;
-
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 ~
-
!Tf - the time of delivery from manufacturer i to distributor s;
-
!using mode of transport d;
-
2 3 4 1 2 3 1 2 3 4 6 7 4 6 7 4 6 7 ~
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!G - the fixed cost of delivery from distributor s;
-
!to customer j using mode of transport d;
-
2 4 10 2 5 12 14 12 20 15 13 30 4 8 16 3 6 15 5 10 15 2 4 10
-
2 4 11 3 6 14 6 10 20 4 8 20 ~
-
!R2 - if distributor s can deliver to customer j;
-
!using mode of transport d;
-
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1
-
1 1 1 1 1 1 ~
-
!Tm - the time of delivery from distributor s;
-
!to customer j using mode of transport d;
-
1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1
-
2 1 1 2 1 1 2 ~
-
!K1 - the variable cost of delivery of product k;
-
!from manufacturer i to distributor s using mode of transport d;
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 ~
-
!K2 - the variable cost of delivery of product k;
-
!from manufacturer i to distributor s using mode of transport d;
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
-
3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 ~
-
!Od – the environmental cost of using mode of transport d;
-
10 30 400 ~
-
!CW - Arbitrarily large constant;
-
10000~
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Sitek, P., Wikarek, J. (2014). Decision Support in Automotive Supply Chain Management: Declarative and Operational Research Approach. In: Golinska, P. (eds) Environmental Issues in Automotive Industry. EcoProduction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23837-6_7
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DOI: https://doi.org/10.1007/978-3-642-23837-6_7
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