Research on the application of optimization algorithms in engineering management and its practice in project scheduling

Figure 1.

Figure 2.

Figure 3.

BCWP in September

Project	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
A	383520	0	452337	653114	1488971
B	0	189925	0	125262	315187

January earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
C	BCWS	0	282205	0	183649	465854
	BCWP	0	292270	0	119431	411701
	ACWP	0	173462	0	148991	322453
	SV	0	10065	0	-64218	-54153
	CV	0	118808	0	-29560	89248
F	BCWS	5197	337946	6352	383687	733182
	BCWP	5370	313978	6563	333477	659388
	ACWP	6348	391597	7757	393491	799193
	SV	173	-23968	211	-50210	-73794
	CV	-978	-77619	-1194	-60014	-139805

March earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
F	BCWS	0	337945	0	383687	721633
	BCWP	0	344447	0	376788	721235
	ACWP	0	340815	0	374564	715379
	SV	0	6502	0	-6899	-397
	CV	0	-3632	0	2224	-1408

Activity time calculation results

Activity name	Node number		Earliest starting time	Earliest end	Late start time	The end of the day	Total jet lag	Free time	Critical path
	i	j	ES	EF	LS	LF	TF	FF
A	2	4	0	39	0	41	0	0	Yes
B	2	3	0	40	43	81	41	2	—
C	5	8	40	213	40	213	0	0	Yes
D	3	6	40	172	83	214	41	42	—
E	4	4	40	171	83	216	41	41	—
F	7	7	215	226	212	226	0	0	Yes
G	9	8	222	252	223	253	0	0	Yes
H	8	10	254	266	252	266	0	0	Yes
I	11	11	267	296	268	296	0	0	Yes
J	11	14	297	304	299	311	4	5	—
K	10	10	267	287	278	295	10	10	—
L	12	13	297	309	297	311	0	1	Yes
M	14	15	309	314	311	316	0	0	Yes
N	15	18	315	345	314	344	0	1	Yes

Overall budget cost of the bridge (yuan)

Job code	Labor cost	Materials cost	Mechanical charge	Subcontract charge	Total
A	605473	520304	767861	1467259	3389434
B	257294	308712	180754	377083	1119964
C	961406	2607521	672386	0	4255290
D	409299	402371	128379	1372563	2276823
E	302136	3207985	197519	2587247	6339379
F	66159	111796	17829	0	137554
G	446764	1700776	843782	0	2967724
H	156520	51294	111419	0	322795
I	208400	809385	77505	0	1076794
J	101399	181768	85429	0	324085
K	300746	308623	140331	528012	1260523
L	82781	36100	56878	0	225736
M	167781	395465	184476	0	711779
N	98412	-11208	125391	0	216151

BCWS in September

Project	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
A	332580	399100	0	597651	1331500
B	0	0	167993	16700	267400

ACWP in September

Project	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
A	387965	0	463537	659742	1511245
B		195003		130002	325005

December earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
C	BCWS	0	729029	0	1261547	1990576
	BCWP	0	771914	0	1234122	2006036
	ACWP	0	599040	0	1305983	1905023
	SV	0	42884	0	-27424	15460
	CV	0	172874	0	-71861	101013
F	BCWS	5197	337946	6352	383687	733182
	BCWP	5023	293721	6140	333477	638361
	ACWP	5937	366332	7258	393831	773358
	SV	-174	-44225	-212	-50210	-94821
	CV	-914	-72611	-1118	-60353	-134996

April earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
F	BCWS	0	327044	0	371310	698354
	BCWP	0	344476	0	375446	719922
	ACWP	0	326078	0	370279	696357
	SV	0	17431	0	4136	21567
	CV	0	18397	0	5167	23564
G	BCWS	0	149604	0	6029	155633
	BCWP	0	160309	0	6448	166757
	ACWP	0	139447	0	5871	145318
	SV	0	10705	0	419	11124
	CV	0	20861	0	577	21438
H	BCWS	246592	369889	287691	0	904172
	BCWP	247690	369984	291723	0	909397
	ACWP	246370	369680	286582	0	902632
	SV	1098	95	4032	0	5225
	CV	1320	305	5141	0	6766

The project is expected to be in the construction period

Specific project (working package)	Planned period
Bridge	September 10, 2022, October 20, 2022
Precast beam field	September 10, 2022, October 20, 2022
Bridge foundation (punch pile, column, beam)	October 20, 2022 ~ April 11, 2023
Hollow plate prefabrication	October 24, 2022 ~ March 4, 2023
Box girder prefabrication	October 24, 2022 ~ March 4, 2023
Support stone	April 11, 2023 ~ April 21
Beam mounting	April 22, 2023 ~ May 20
Reaming	May 21, 2023 ~ June 5
Bridge dress	June 6, 2023 ~ July 5
Expansion joint installation	July 6, 2023 ~ July 15
Fence construction	June 6, 2023 ~ June 25
Sideway board installation	July 6, 2023 ~ July 20
Marking line	July 20, 2023 ~ July 25
The bridge is demolished by the way	July 26, 2023 ~ August 20

October earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
A	BCWS	265534	0	318652	477978	1062164
	BCWP	272265	0	302342	574132	1148739
	ACWP	259999	0	328249	589875	1178123
	SV	6731	0	-16310	96154	86575
	CV	12266	0	-25907	-15742	-29383
B	BCWS	0	134064	0	89376	223440
	BCWP	0	101564	0	67710	169274
	ACWP	0	97501	0	65001	162502
	SV	0	-32500	0	-21667	-54167
	CV	0	4063	0	2709	6772
C	BCWS	0	399790	0	691816	1091606
	BCWP	0	421356	0	703985	1125341
	ACWP	0	405801	0	662896	1068697
	SV	0	21565	0	12168	33733
	CV	0	15555	0	41089	56644
D	BCWS	0	0	0	377977	377977
	BCWP	0	0	0	311473	311473
	ACWP	0	0	0	291616	291616
	SV	0	0	0	-66503	-66503
	CV	0	0	0	19858	19858
E	BCWS	0	0	0	521209	521209
	BCWP	0	0	0	536471	536471
	ACWP	0	0	0	556466	556466
	SV	0	0	0	76200	76200
	CV	0	0	0	-19995	-19995

November earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
C	BCWS	0	705512	0	1220852	1926364
	BCWP	0	747013	0	1194311	1941324
	ACWP	0	681280	0	1185224	1866504
	SV	0	41501	0	-26541	14960
	CV	0	65733	0	9087	74820
D	BCWS	0	0	0	667016	667016
	BCWP	0	0	0	681461	681461
	ACWP	0	0	0	669281	669281
	SV	0	0	0	14444	14444
	CV	0	0	0	12180	12180
E	BCWS	0	0	0	822962	822962
	BCWP	0	0	0	767074	767074
	ACWP	0	0	0	835649	835649
	SV	0	0	0	-55888	-55888
	CV	0	0	0	-68575	-68575

September earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
A	BCWS	337964	0	405557	608336	1351857
	BCWP	383520	0	452337	653114	1488971
	ACWP	387965	0	463537	659742	1511244
	SV	45556	0	46779	44779	137114
	CV	-4445	0	-11200	-6628	-22273
B	BCWS	0	170628	0	113752	284380
	BCWP	0	189925	0	125262	315187
	ACWP	0	195003	0	130002	325005
	SV	0	19297	0	11510	30807
	CV	0	-5078	0	-4740	-9818

Bridge project work relationship

Job code	Job name	Preorder	Duration/d
A	Bridge	—	42
B	Precast beam field	—	43
C	Bridge foundation (punch pile, column, beam)	A	175
D	Hollow plate prefabrication	B	131
E	Box girder prefabrication	B	135
F	Support stone	C	12
G	Beam mounting	D, E, F	26
H	Reaming	G	18
I	Bridge dress	H	25
J	Expansion joint installation	I, K	10
K	Fence construction	H	23
L	Sideway board installation	I, K	26
M	Marking line	J, L	6
N	The bridge is demolished by the way	M	35

Total cost deviation (yuan)

Month	May	June	July
Total cost deviation	19091	23846	48569

The earning method is compared to the traditional cost control method

Earning parameter	Critical path earning method	Traditional cost control method
Completed budget cost (BCWP)	3291297
Actual costs (ACWP)	3257403	3257403
Budget costs (BCWS)	3276398	3276398
Cost deviation	33894	18994
Progress deviation	14899

February earnings report (yuan)

Project	Earning indicator	Labor cost	Mechanical charge	Materials cost	Subcontract charge	Total
F	BCWS	0	305241	0	346556	651797
	BCWP	0	344531	0	352467	696998
	ACWP	0	363857	0	364420	728277
	SV	0	39290	0	5911	45201
	CV	0	-19326	0	-11953	-31279