Research on joint reserve decision-making of government and enterprises under quantity flexibility contract

doi:10.16265/j.cnki.issn1003-3033.2024.10.0310

Abstract

Abstract:

To improve the applicability and scalability of the joint reserve model for social emergency supplies, and reduce the reserve risks of the government and manufacturers, raw material suppliers were used to propose a government-led Stackelberg three-tier joint reserve model of government and enterprises under a quantity flexibility contract. In this model, the government and manufacturer engaged in joint a stockpile of physical emergency supplies, while the suppliers were responsible for stockpiling raw materials for the production of emergency supplies. The inverse-order solution method in game theory was used to analyze the optimal reserve quantity of the three parties to balance the expected profit and cost. Moreover, the advantages of the proposed three-tier supply chain model involving government and enterprises were evaluated. Finally, the model performance was validated by numerical simulation and sensitivity analysis. The results demonstrated that the three-tier joint government-enterprise stockpile model not only improved the overall emergency stockpile volume under specific market conditions but also reduced the government's storage risk. Furthermore, it can enhance the profitability of high-performing enterprises and reinforce the structure and efficacy of the emergency stockpile system.

Key words: quantity flexibility contract, joint reserves of government and enterprises, emergency supplies, reserve of raw materials, three-tier supply chain

CLC Number:

X928.03事故预防与预测

GONG Lingjun, JIANG Xingyu, GUO Keting. Research on joint reserve decision-making of government and enterprises under quantity flexibility contract[J]. China Safety Science Journal, 2024, 34(10): 221-228.

Figures/Tables 5

Fig.1

Fig.2

Fig.3

Table 1

Sensitivity analysis of emergency occurrence probability

ρ	政企三方联合储备模式						政府单独储备模式
ρ	$Q c *$	$Q 1 *$	$Q 2 *$	$Π s 1 *$	$Π m 1 *$	$Π g 1 *$	$Q 0 *$	$Π s 0 *$	$Π m 0 *$	$Π g 0 *$
0.44	114	9 316	4 743	95 406	310 329	1 118 644	3 542	17 712	177 116	1 279 972
0.54	3 796	7 590	3 865	96 257	438 046	1 318 525	6 590	32 950	329 502	1 449 977
0.64	6 328	6 404	3 261	96 842	525 851	1 459 068	8 685	43 427	434 267	1 569 981
0.74	8 176	5 539	2 820	97 269	589 926	1 563 290	10 214	51 072	510 718	1 660 253
0.84	9 583	4 880	2 485	97 594	638 744	1 646 909	11 379	56 897	568 966	1 731 414
0.94	10 691	4 360	2 220	97 850	677 175	1 714 046	12 296	61 482	614 820	1 789 561

Table 1

Table 2

Sensitivity analysis of manufacturer's flexible purchasing prices

w₁	政企三方联合储备模式						政府单独储备模式
w₁	$Q c *$	$Q 1 *$	$Q 2 *$	$Π s 1 *$	$Π m 1 *$	$Π g 1 *$	$Q 0 *$	$Π s 0 *$	$Π m 0 *$	$Π g 0 *$
100	114	124	7 801	64 782	352 730	1 178 661	3 542	17 712	177 116	1 279 972
102	114	461	7 710	66 301	355 333	1 175 450	3 542	17 712	177 116	1 279 972
104	114	788	7 620	67 742	357 497	1 172 431	3 542	17 712	177 116	1 279 972
︙	︙	︙	︙	︙	︙	︙	︙	︙	︙	︙
221	114	10 256	4 369	97 208	294 935	1 115 189	3 542	17 712	177 116	1 279 972
223	114	10 337	4 337	97 351	293 532	1 114 911	3 542	17 712	177 116	1 279 972
225	114	10 417	4 304	97 489	292 140	1 114 640	3 542	17 712	177 116	1 279 972

Table 2

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