SUPPLY CHAIN GAMES: OPERATIONS MANAGEMENT AND RISK VALUATION phần 1 pot

... diversity of supply chains. Examples: The Many Faces of Supply Chains The common view of supply chains, as stated in Figures 1. 1, 1. 2 and 1. 3 involves supply chains with intra-firms operations ... • Supply Chains and Operations Modeling and Management • Intertemporal Supply Chains Management • Risk and Supply Chain Management The first area provides both traditional static and discrete-time ... inventory policy, financial costs and related considerations. SUPPLY CHAIN GAMES: OPERATIONS MANAGEMENT AND RISK VALUATION 30 1 SUPPLY CHAIN OPERATIONS MANAGEMENT products are delivered...

... case, with a demand, a random function of random prices). Then, the retailer profit at the next period is: ( )()( )()()()()() 11 1 11 1 1 11 11 1 1 1 1 1 1 1 1 1 (1 ) (1) (1 ) frfwRDQD ... measurement has its own error sources and 386 7 RISK AND SUPPLY CHAINS PART III RISK AND SUPPLY CHAIN MANAGEMENT 6.3 SUPPLY CHAINS WITH RANDOM YIELD 363 Note that in the ... Nahmias 19 98, Akella et al 2002, Anupundi and Akella 19 93, Harland et al 2003. 7.3 SUPPLY CHAIN RISKS AND MONEY Risk is a consequence, expressing the explicit and latent objectives of the firm and...

... of equations L 11= 0 and L12=0 >solve({L 11= 0, L12=0}, {m,w}); {}, = m 21. 83 319 513 = w 22.83 319 513 sponse mR(w) numerically as mR > mR:=solve(L 11= 0,m); mR + − 18 . 1. 200000000+ ... 21 ,maxqqJ(q 1 ,q2) = 21 ,maxqq[J 1 (q 1 ,q2)+J2(q 1 ,q2)]= 21 ,maxqq q 1 [p(q 1 +q2)-c]+ q2[p(q 1 +q2)-c] (2 .19 ) s.t. q 1 ≥0, q2≥0, p(q 1 +q2) ≥c. q 1 q2 Supplier 1: ... for): The problem of supplier 1 1 maxqJ 1 (q 1 ,q2)= 1 maxq q 1 [p(q 1 +q2)-c-wd] s.t. q 1 ≥0, p(q 1 +q2) ≥ c+wd. 44 1 SUPPLY CHAIN OPERATIONS MANAGEMENT Dantzig developed...

... ∫∞−+−−∂∂−−++−−++cswsrrrdDAwwschhmADwschm 211 )( 1 111 1 1 ])(2 1 )[)(2)(2(+ ∫∞−+−−+−+−−+++−+∂∂++cswsrrrrrdDADwsDwsAhhmchmwwsAhhm 211 )( 11 11 1 11 1])(2)(2[)(2 1 11 1 011 )()()(wwscwxws∂∂−+−+ ... and thus B2s(x 1 ) is random. Specifically, by taking into account that x 1 = x0+q 1 -d 1 , , we have ⎪⎩⎪⎨⎧<−−−−−−≥−=. if )),()()()(( if,0)( 211 111 1 211 2 211 12 csscssdsdsdsscdswsdsxB(3.33) ... is {})]()[(max)( 12 110 1 1 xBqcwExBscws+−=≥. Accounting for the expectation and for the follower’s response q 1 =q 1 R(w 1 ), results in {})]([)()(max)( 12 111 01 1xBEwqcwxBsRcws+−=≥,...

... supplier ))()),()(()(([)( 12 111 tcttqtqptqtH−+=β)( 11 1 1tqγψ− )(22 1 2tqγψ− , [)(2β=tH ))]()),()(()((2 212 tcttqtqptq−+)( 11 2 1 tqγψ− )(2222tqγψ− . 18 4 4 MODELING IN AN ... centralized problem 21 ,maxqqJ(q 1 ,q2)= 21 ,maxqq[J 1 (q 1 ,q2)+J2(q 1 ,q2)]= 21 ,maxqq()()∫−+Ttcttqtqptq0 12 11 )(),()()([β+()()dttcttqtqptq ])(),()()(2 212 −+ (4.43) ... supplier 1 1 maxqJ 1 (q 1 ,q2)= 1 maxq ()()∫−+Tdttcttqtqptq0 12 11 )(),()()(β (4.37) 18 0 4 MODELING IN AN INTERTEMPORAL FRAMEWORK4.2 INTERTEMPORAL PRODUCTION/PRICING COMPETITION 16 3...

... ).4 1 2 1 2 1 4 1 2 1 2 1 (4 1 4 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 4 1 4 1 2 1 2 1 2 1 2 1 2 1 4 1 4 1 2 1 222 21 2 212 212 2 12 2 12 1 211 211 122 1 2222 1 2 12 1 212 12 1 22 21 22 12 1 21 2 211 212 112 211 12222222 11 211 222 212 2 21 211 22 212 1222 12 12*2fhbffhbfahbUfhbfbhbffbhbfahbUfhbhfbhfbhffbbhffbfbbhfbbhffbhfbahfbahfbahfbafbfbUfhbUfhbfbafbafbafbaUfbUfbaaaaUaUaUD++++++++++++++++++++++−++−−+−−+++−+−−−+++−−−+++−−++−+−−++−+= ... FRAMEWORK[] 12 2 1 * 12 212 1* 1 2 1 ][2 1 2 1 2 1 2 1 bbhDfbfbaaUA−++−−+=− )4 1 2 1 2 1 4 1 2 1 2 1 (4 1 2 1 4 1 2 1 2 1 2 1 2 1 2 1 4 1 4 1 122 1 222 21 2 212 211 2 12 12 212 112 1222222 21 222 12 212 22 212 211 21 222 12 2 212 12* 1 UfbhfbhffbhfabhUfbhfbbhffbbhfabhfbfbbfbfbafbafbafbaaaaafUbfUbUaUaUD−−−−−−−−+−+−−+−−+−++−+−−+++−−+= ... *2*4Attf+= and 1 *4*3ftt −= , +−=hwwf 21 1, where 12 wcfr+=, [][] 12 2 1 * 212 112 2 212 1*22 1 2 1 2 1 2 1 2 1 2 1 2 1 bbhDhfbfhbfbfbaaUA−++−+−−+=+++, ).4 1 2 1 2 1 4 1 2 1 2 1 (4 1 4 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 4 1 4 1 2 1 2 1 2 1 2 1 2 1 4 1 4 1 2 1 222 21 2 212 212 2 12 2 12 1 211 211 122 1 2222 1 2 12 1 212 12 1 22 21 22 12 1 21 2 211 212 112 211 12222222 11 211 222 212 2 21 211 22 212 1222 12 12*2fhbffhbfahbUfhbfbhbffbhbfahbUfhbhfbhfbhffbbhffbfbbhfbbhffbhfbahfbahfbahfbafbfbUfhbUfhbfbafbafbafbaUfbUfbaaaaUaUaUD++++++++++++++++++++++−++−−+−−+++−+−−−+++−−−+++−−++−+−−++−+=...

... +−−=+−−−=⎟⎠⎞⎜⎝⎛+−−+⎟⎠⎞⎜⎝⎛+−−+∑pptThwpthwwTVthwcTUXAnnn)()]()([ 1 11 1 1 2 1 1 1 0. That is, ∑∑+−+−−=++++−−−−−+−−+=nnnnnppAhUVpphTwpAhwwTVhwcTUXt 1 12 1 10 1 )()(, and () 11 0 1 twcht +−=; () 11 22 1 twwht ... of N +1 equations in N +1 unknowns, ji, j =1, ,N ,K: []0)) (1( 2 1 1 1 1=+−−−−−jIjjircKawδθββαβαβ, KiNjjδ=∑ =1 . Summing all equations we have []0)) (1( 2 1 1 1 1 1 =+−−⎥⎥⎦⎤⎢⎢⎣⎡−−−=∑KrKacwNjIjjδδθββαβαβ, ... ]))(()()()[()()( 1 0 1 1=+⎟⎠⎞⎜⎝⎛+⎟⎠⎞⎜⎝⎛−−∫⎟⎠⎞⎜⎝⎛−−+−−δδϕδδλδdttAbAatAbhhbAbacbAs. (4 .17 3) If 0)()()()()( 11 1 1 1 12 1 2<++⎟⎟⎠⎞⎜⎜⎝⎛′+−...

... nnnnnnnnnnnnnnnnnnnnwkhtTdTXpdTXpwkhtTdTXpdTXp⎟⎟⎠⎞⎜⎜⎝⎛−−−+−==⎟⎟⎠⎞⎜⎜⎝⎛−−−+−−+−−−−−−−−+)())( 1( )()())( 1( )( 1 1 1 1 1 1 1 n=2,…,N, (6.43) ))( 1( )()( 1 1 1 1 1 111 dTXpdTXphtT −+−=−−+, )()( 1 nnnnnttwMkTX −=+, n =1, 2,…,N; TtN= +1 . Note, both ... (6.27): J∫∫+−⋅+−⋅+−⋅= 10 64.764.784.5)64.7(204.0)64. 710 (18 1.0)84.5 (10 1.0 dttdtt2802.47 21 30 18 12 2.470 21 180 1 80 1 )2.47 (15 30 1 )18 (10 80 1 )2.47(830 1 )18 (6 dDDdDDdDDdDD∫∫∫∫−+−+−+−+= ... form: 204.0 )10 (80)( 11 580)(8 10 1.0 )10 (30)( 11 530)(82222 11 ⎥⎦⎤⎢⎣⎡−−⎟⎠⎞⎜⎝⎛−+−=⎥⎦⎤⎢⎣⎡−−⎟⎠⎞⎜⎝⎛−+−tTXTXtTXTX; 1. 0 )10 (30)( 11 030)(62 11 tTXTX−=⎟⎠⎞⎜⎝⎛−+−...

... it is a solution of: ()* 11 *** 11 11 111 122 11 (1 ) ( ) ; feewRLDDαπ απππαππ παα αα−−−−+−⎛⎞⎛⎞⎡⎤+= +−+ − =⎜⎟⎜⎟⎣⎦⎝⎠⎝⎠,(7.68) where: 1 11 1 11 11 1 ()xeeLedxπαπαπαπαππ ... ** 11 00 10 01 00 10 11 01 ˆˆ ˆˆ(, )ˆˆˆˆNPaa aaVxyaaaa−=−+−, or ()()() ()** 1 (, ) 11 1 PPpNPpPPPpicVxy Edcανννβαν+−=−−− − (8 .18 ) and **(, )NSVxy= 011 110 00 011 011 00ˆˆˆˆˆˆˆˆbbbbbbbb−+−−, ... 17 : 13 75 -14 21. Holmstrom B (19 79) Moral hazard and observability. Bell J. of Economics 10 (1) : 74- 91. 426 7 RISK AND SUPPLY CHAINS Research Society 56: 11 59 -11 65. agement Review 46 (1) :...

... uxtxButuxtxBxH∂∂+=∂∂ ),(),,),(,(2. A1.2 DYNAMIC PROGRAMMING 489 which, with respect to ),( 11 1 −−−=KKKKuxfx (see (A1. 21) ) is {})),((),(min)( 11 111 1)( 1 1 11 −−−−−−−−+=−−KKKKKKxUKKuxfRuxLxBkK. ... .0 81, .226 . 016 9, .038 10 : Type II Type I (P,S) Type II (P,S).224 . 31, .4 01 .08, .408 .11 34 .240, .4 01 .037, .18 9 .05 .18 6, .4 01 . 017 . .085 .023 . 014 3, .4 01 .007, .038 15 : Type ... process supply chain, each producer with a risk attitude reflected by the consumer and producer risks assumed. Thus, letting the first supplier be indexed 1 , we have: 11 (1) (1) (1) (1) (1) (1) ...