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The calculations
orderdata
reorderEnter row vector of states states
Enter row vector A of actions (padded) AEnter row vector C of order costs (padded) C
Enter row vector D of demand values DEnter row vector PD of demand probabilities PD
Enter unit selling price SP SPEnter backorder penalty cost BP BP
PA =1.0000 0 0 0 0
0.6000 0.2000 0.2000 0 00.2000 0.2000 0.2000 0.2000 0.2000
0.8000 0.2000 0 0 00.4000 0.2000 0.2000 0.2000 0
0.4000 0.2000 0.2000 0.2000 00.6000 0.2000 0.2000 0 0
0.2000 0.2000 0.2000 0.2000 0.20000.2000 0.2000 0.2000 0.2000 0.2000
0.4000 0.2000 0.2000 0.2000 00.4000 0.2000 0.2000 0.2000 0
0.4000 0.2000 0.2000 0.2000 00.2000 0.2000 0.2000 0.2000 0.2000
0.2000 0.2000 0.2000 0.2000 0.20000.2000 0.2000 0.2000 0.2000 0.2000
GA =0 -40 -80 -120 -160
-300 -100 100 60 20-480 -280 -80 120 320
0 200 160 120 80-300 -100 100 300 260
-300 -100 100 300 2600 200 400 360 320
-300 -100 100 300 500-300 -100 100 300 500
0 200 400 600 5600 200 400 600 560
0 200 400 600 5600 200 400 600 800
0 200 400 600 8000 200 400 600 800
polit
Data needed:- - - - - - - - - - - - - - -
Enter type number to show gain type typeEnter row vector of states states
Enter row vector A of possible actions AEnter value of alpha (= 1 for no discounting) 1
Enter matrix PA of transition probabilities PAEnter matrix GA of gains GA
Enter row vector PD of demand probabilities PDIndex Action Value
1 0 -802 2 -44
3 4 -804 0 1125 2 52
6 2 527 0 256
8 2 1009 2 100
10 0 35211 0 352
12 0 35213 0 400
14 0 40015 0 400
Initial policy: action numbers2 1 1 1 1
Policy: actions2 0 0 0 0
New policy: action numbers3 2 2 1 1
Policy: actions4 2 2 0 0
Long-run distribution0.2800 0.2000 0.2000 0.2000 0.1200
Test values for selecting new policyIndex Action Test Value
1.0000 0 -248.00002.0000 2.0000 -168.8000
3.0000 4.0000 -41.60004.0000 0 -48.8000
5.0000 2.0000 -5.60006.0000 2.0000 -5.6000
7.0000 0 131.20008.0000 2.0000 138.4000
9.0000 2.0000 138.400010.0000 0 294.4000
11.0000 0 294.400012.0000 0 294.4000
13.0000 0 438.400014.0000 0 438.4000
15.0000 0 438.4000Optimum policy
State Action Value0 4.0000 -168.0000
1.0000 2.0000 -132.00002.0000 2.0000 12.0000
3.0000 0 168.00004.0000 0 312.0000
Long-run expected gain per period G126.4000
polit
Data needed:- - - - - - - - - - - - - - -
Enter case number to show gain type typeEnter row vector of states states
Enter row vector A of possible actions AEnter value of alpha (= 1 for no discounting) 1/1.02
Enter matrix PA of transition probabilities PAEnter matrix GA of gains GA
Enter row vector PD of demand probabilities PDIndex Action Value
1 0 -802 2 -44
3 4 -804 0 112
5 2 526 2 52
7 0 2568 2 100
9 2 10010 0 352
11 0 35212 0 352
13 0 40014 0 400
15 0 400Initial policy: action numbers
2 1 1 1 1Policy: actions
2 0 0 0 0New policy: action numbers
3 2 2 1 1Policy: actions
4 2 2 0 0Test values for selecting policy
Index Action Test Value1.0e+03 *
0.0010 0 6.07460.0020 0.0020 6.1533
0.0030 0.0040 6.27760.0040 0 6.2740
0.0050 0.0020 6.31550.0060 0.0020 6.3155
0.0070 0 6.45330.0080 0.0020 6.4576
0.0090 0.0020 6.45760.0100 0 6.6155
0.0110 0 6.61550.0120 0 6.6155
0.0130 0 6.75760.0140 0 6.7576
0.0150 0 6.7576Optimum policy
State Action Value1.0e+03 *
0 0.0040 6.27760.0010 0.0020 6.3155
0.0020 0.0020 6.45760.0030 0 6.6155
0.0040 0 6.7576
dpinit
Initialize for finite horizon calculationsMatrices A, PA, and GA, padded if necessary
Enter type number to show gain type typeEnter vector of states states
Enter row vector A of possible actions AEnter matrix PA of transition probabilities PA
Enter matrix GA of gains GAEnter row vector PD of demand probabilities PD
Call for dprogdprog
States and expected total gains0 1 2 3 4
-44 112 256 352 400States Actions
0 21 0
2 03 0
4 0dprog
States and expected total gains0 1.0000 2.0000 3.0000 4.0000
135.2000 178.4000 315.2000 478.4000 615.2000States Actions
0 41 2
2 23 0
4 0dprog
States and expected total gains0 1.0000 2.0000 3.0000 4.0000
264.4800 300.4800 444.4800 600.4800 744.4800States Actions
0 41 2
2 23 0
4 0dprog
States and expected total gains0 1.0000 2.0000 3.0000 4.0000
390.8800 426.8800 570.8800 726.8800 870.8800States Actions
0 41 2
2 23 0
4 0dprog
States and expected total gains0 1.0000 2.0000 3.0000 4.0000
517.2800 553.2800 697.2800 853.2800 997.2800States Actions
0 41 2
2 23 0
4 0dprog
States and expected total gains1.0e+03 *
0 0.0010 0.0020 0.0030 0.00400.6437 0.6797 0.8237 0.9797 1.1237
States Actions0 4
1 22 2
3 04 0
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